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Convergence of the perturbation expansion in some models of the field theory

Journal Article · · Nuovo Cimento
DOI:https://doi.org/10.1007/bf02787887· OSTI ID:4836045
 [1];  [2]
  1. Univ. of Rochester, NY (United States)
  2. Naval Ordnance Laboratory, Silver Springs, MD (United States)
It is shown that in a class of models of the quantum field theory the perturbation expansion of the resolvent operator, (H - z)-1, converges for all complex z. The class of models consists of all theories with Yukawa coupling in which the vacuum polarization was neglected. Finally, the method used was that of comparison with the exactly solvable neutral scalar model.
Research Organization:
Naval Ordnance Laboratory, Silver Spring, MD (United States); Univ. of Rochester, NY (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-16-001162
OSTI ID:
4836045
Alternate ID(s):
OSTI ID: 4809686
Report Number(s):
NYO--9753
Journal Information:
Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 5 Vol. 22; ISSN 0029-6341
Publisher:
Società Italiana di FisicaCopyright Statement
Country of Publication:
United States
Language:
English

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